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6820996 = 2272132677
BaseRepresentation
bin11010000001010010000100
3110211112122111
4122001102010
53221232441
6402110404
7111656200
oct32012204
913745574
106820996
113939796
12234b404
13154a8c0
14c97b00
158eb081
hex681484

6820996 has 36 divisors (see below), whose sum is σ = 14959308. Its totient is φ = 2697408.

The previous prime is 6820993. The next prime is 6820999. The reversal of 6820996 is 6990286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6820993) and next prime (6820999).

It can be written as a sum of positive squares in 2 ways, for example, as 470596 + 6350400 = 686^2 + 2520^2 .

It is not an unprimeable number, because it can be changed into a prime (6820991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210 + ... + 3886.

Almost surely, 26820996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479654).

6820996 is an abundant number, since it is smaller than the sum of its proper divisors (8138312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6820996 is a wasteful number, since it uses less digits than its factorization.

6820996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 6820996 is about 2611.7036585340. The cubic root of 6820996 is about 189.6484357611.

The spelling of 6820996 in words is "six million, eight hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 2677 5354 10708 18739 34801 37478 69602 74956 131173 139204 243607 262346 487214 524692 974428 1705249 3410498 6820996